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Finding the Fourth Proportional to 289.12, 432.96 and 220.36

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Solution

The fourth proportional to 289.12, 432.96 and 220.36 is: 329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.12 : 432.96 = 220.36 : x
  2. Step 2: Convert to fraction form
    289.12/432.96 = 220.36/x
  3. Step 3: Cross multiply
    289.12x = 432.96 × 220.36
  4. Step 4: Simplify right side
    289.12x = 95,407.07
  5. Step 5: Solve for x
    x = 95,407.07/289.12
  6. Step 6: Final answer
    x = 329.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.